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Composite Materials

Properties as Influenced by Phase Geometry

  • Book
  • © 2005

Overview

Authors:
  1. Lauge Fuglsang Nielsen

    1. Dept. Civil Engineering, Technical University of Denmark, Lyngby, Denmark

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  • Presents the mechanical and physical behavior of composites
  • Thorough analysis of various composite properties versus composite geometry
  • Gives a better understanding of the behavior of natural composites, the improvement of such materials and the design of new materials with prescribed properties
  • Serves theory and practice

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-XV
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  2. Introduction

    • Lauge Fuglsang Nielsen
    Pages 1-5

  3. Classification of Composites

    • Lauge Fuglsang Nielsen
    Pages 7-16

  4. Preliminaries on Stress/Strain

    • Lauge Fuglsang Nielsen
    Pages 17-22

  5. Composite Stress and Geometry

    • Lauge Fuglsang Nielsen
    Pages 23-33

  6. Composite Stiffness and Geometry

    • Lauge Fuglsang Nielsen
    Pages 35-38

  7. Composite Eigenstrain/Stress

    • Lauge Fuglsang Nielsen
    Pages 39-41

  8. Quantification of Geometry

    • Lauge Fuglsang Nielsen
    Pages 43-63

  9. Composite Theory — Elasticity

    • Lauge Fuglsang Nielsen
    Pages 65-98

  10. Composite Theory — Conductivity

    • Lauge Fuglsang Nielsen
    Pages 99-111

  11. Simplified Composite Theory — Elasticity

    • Lauge Fuglsang Nielsen
    Pages 113-154

  12. Simplified Composite Theory — Conductivity

    • Lauge Fuglsang Nielsen
    Pages 155-161

  13. Diagnostic Aspects of Theory

    • Lauge Fuglsang Nielsen
    Pages 163-176

  14. Aspects of Materials Design

    • Lauge Fuglsang Nielsen
    Pages 177-182

  15. Viscoelasticity

    • Lauge Fuglsang Nielsen
    Pages 183-198

  16. Viscoelastic Composites

    • Lauge Fuglsang Nielsen
    Pages 199-220

  17. Final Remarks

    • Lauge Fuglsang Nielsen
    Pages 221-222

  18. Back Matter

    Pages 223-259
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Keywords

About this book

In the past ?ve decades considerable attention has been devoted to comp- ite materials. A number of expressions have been suggested by which mac- scopic properties can be predicted when the properties, geometry, and volume concentrations of the constituent components are known. Many expressions are purely empirical or semi-theoretical. Others, however, are theoretically well founded such as the exact results from the following classical boundary studies: Bounds for the elastic moduli of composites made of perfectly coherent homogeneous, isotropic linear elastic phases have been developed by Paul [1] and Hansen [2] for unrestricted phase geometry and by Hashin and Shtrikman [3] for phase geometries, which cause macroscopic homogeneity and isotropy. The composites dealt with in this book are of the latter type. For two speci?c situations (later referred to), Hashin [4] and Hill [5] derived exact - lutionsforthebulkmodulusofsuchmaterials.Hashinconsideredtheso-called Composite Spheres Assemblage (CSA) consisting of tightly packed congruent composite elements made of spherical particles embedded in concentric - trix shells. Hill considered materials in which both phases have identical shear moduli. In the ?eld of predicting the elastic moduli of homogeneous isotropic c- posite materials in general the exact Hashin and Hill solutions are of th- retical interest mainly. Only a few real composites have the geometry de?ned by Hashin or the sti?ness distribution assumed by Hill. The enormous sign- icance, however, of the Hashin/Hill solutions is that they represent bounds which must not be violated by sti?ness predicted by any new theory claiming to consider geometries in general.

Authors and Affiliations

  • Dept. Civil Engineering, Technical University of Denmark, Lyngby, Denmark

    Lauge Fuglsang Nielsen

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